Pith Number

pith:TWIJQQFM

pith:2008:TWIJQQFMNAKS7WLMCLDWV64JJ6

not attested not anchored not stored refs pending

Sharp capacitary estimates for rings in metric spaces

Nicola Garofalo, Niko Marola

arxiv:0805.3830 v1 · 2008-05-25 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TWIJQQFMNAKS7WLMCLDWV64JJ6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:27:33.328905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d909840ac68152fd96c12c76afb894f85807700285a307a6ff521ac612be35c

Aliases

arxiv: 0805.3830 · arxiv_version: 0805.3830v1 · doi: 10.48550/arxiv.0805.3830 · pith_short_12: TWIJQQFMNAKS · pith_short_16: TWIJQQFMNAKS7WLM · pith_short_8: TWIJQQFM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TWIJQQFMNAKS7WLMCLDWV64JJ6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9d909840ac68152fd96c12c76afb894f85807700285a307a6ff521ac612be35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3443c87abdfa8b6ed0aac46a5a8a6b4065534150837c3a122361387c710290b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-05-25T14:42:04Z",
    "title_canon_sha256": "f29105f9d8a9d2c1033aa5f22d4f6477126648234db95a1e492e72acad477ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3830",
    "kind": "arxiv",
    "version": 1
  }
}